Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 250, 510, 187, 916 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 510, 187, 916 is 1
GCD(250, 510, 187, 916) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 510, 187, 916 is 1
GCD(250, 510, 187, 916) = 1
Given Input numbers are 250, 510, 187, 916
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Greatest Common Divisior
We found the divisors of 250, 510, 187, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 510, 187, 916 is 1.
Therefore, GCD of numbers 250, 510, 187, 916 is 1
Given Input Data is 250, 510, 187, 916
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 510 is 2 x 3 x 5 x 17
Prime Factorization of 187 is 11 x 17
Prime Factorization of 916 is 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(250, 510) = 12750
GCD(250, 510) = ( 250 x 510 ) / 12750
GCD(250, 510) = 127500 / 12750
GCD(250, 510) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 187) = 1870
GCD(10, 187) = ( 10 x 187 ) / 1870
GCD(10, 187) = 1870 / 1870
GCD(10, 187) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 916
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
GCD(1, 916) = 916 / 916
GCD(1, 916) = 1
GCD of 250, 510, 187, 916 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 510, 187, 916?
GCD of 250, 510, 187, 916 is 1
2. Where do I get the detailed procedure to find GCD of 250, 510, 187, 916?
You can find a detailed procedure to find GCD of 250, 510, 187, 916 on our page.
3. How to find GCD of 250, 510, 187, 916 on a calculator?
You can find the GCD of 250, 510, 187, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.